8. Complete the proof.
Given: Point M is the midpoint of BD; AM ~ CM.
Prove: AABM ACDM
Statements
Reasons
1. Point M is the midpoint of BD; AM CM 1. Given
2. ZAMB
3.
LCMD
4. ΔΑΒΜ = ΔCDM
a. AB CD
b. BM DM
c. Definition of congruent angles
d. Vertical Angles Theorem
e. Alternate Interior Angles Theorem
2.
3. Definition of midpoint
4. SAS
